SSC CGL & MTS Quiz : Quantitative Aptitude | 06-02-2021

Dear Readers,

As SSC CGL & MTS notification is out and candidates have started their preparation for this exam. Mahendras also has started special quizzes for this examination. This series of quizzes are based on the latest pattern of the SSC CGL & MTS  examination. Regular practice of the questions included in the quizzes will boost up your preparations and it will be very helpful in scoring good marks in the examination.

(1) Which of the following statement(s) is/are TRUE?

निम्नलिखित में से कौन सा / से कथन सत्य है / हैं ?

1.√5 + √5 > √7 + √3

II. √6 + √7 > √8 + √5

III. √3 + √9 > √6 + √6

A. Only I

B. Only II and II

C. Only II and III

D. Only I and III

(2) If, and what is the value of a^2+b^2-ab ?

If, औरहै, तब a^2+b^2-ab का मान क्या है ?

A. 97

B. (2√3)+2

C. (4√6)+1

D. 98

(3) If are the roots of the equation Ax^2 - Bx + C = 0 and , then which of the following is TRUE ?

यदि  समीकरण Ax^2  - Bx + C = 0 के मूल हैं और हो, तो निम्नलिखित में से कौन सा सत्य होगा ?

(4) Ifare the roots of a quadratic equation and α+β = 8 and α-β = 2√5, then which of the following equation will have roots ?

यदि  किसी द्विघात समीकरण के मूल हैं और α+β = 8 और α-β = 2√5 हो, तो निम्न में से किस द्विघात समीकरण के मूल होंगे ?

A. x^2-1522x+14641=0

B. x^21921x=14641=0

C.x^2-1764x+14641=0

D. x^2+2520x+14641=0

(5) If equation Px^2- Qx + R = 0 has two roots a and b ,then find the value of (1/a^2)+(1/b^2)+(a/b) + (b/a)?

यदि समीकरण Px^2- Qx + R = 0 के दो मूल a और b हैं, तो (1/1/a^2)+(1/b^2)+(a/b) + (b/a) का मान ज्ञात कीजिये ?

(6) If x^2-16x +59 = 0, then find the value of (x-6)^2+[1/(x-6)^2]?

यदि x^2-16x +59 = 0 है, तो (x-6)^2+ (x-6)^2+[1/(x-6)^2]का मान ज्ञात कीजिये ?

A. 14

B. 18

C. 16

D. 20

(7) If A and B are the roots of the equation Ax^2-A^2 x+ AB = 0, then what is the value of A and B respectively?

यदि समीकरण Ax^2-A^2 x + AB = 0 के मूल A और B हैं , तब A और B के क्रमशः मान क्या होंगे ?

A. 1,0

B. 1,1

C. 0,2

D. 0,1

(8) If the roots a quadratic equation x^2 - x - 1 = 0 , are  , then find the value of?

 

यदि द्विघात समीकरण x^2 - x - 1 = 0 के मूल  हैं , तोका मान ज्ञात कीजिये ?

A. 47

B. 54

C. 59

D. 68

(9) If a + b + c = 9, ab + bc + ca = 26, a^3 +b ^2= 91, b^3 + c^3 = 72 and c^3 + a^3 = 35, then what is the value of abc ?

यदि a + b + c = 9, ab + bc + ca = 26,  a^3 +b ^2= 91, b^3 + c^3 = 72 ,  औरc^3 + a^3 = 35, तो abc का मान ज्ञात कीजिये ?

A. 48

B. 24

C. 36

D. 42

(10) If x^3 – 4x^2 + 19 = 6(x - 1), then find the value of[x^2+ {1/(x - 4)}]?

यदि  x^3 – 4x^2 + 19 = 6(x - 1) है , तो [x^2 + {1/(x - 4)}] का मान क्या होगा ?

A. 3

B. 5

C. 6

D. 8

Answer Key-

Q-(1) Sol-(2)

Q-(2) Sol-(1)

Q-(3) Sol-(2)

Q-(4) Sol-(1)

Q-(5) Sol-(2)

Q-(6) Sol-(2)

Q-(7) Sol-(1)

Q-(8) Sol-(1)

Q-(9) Sol-(2)

=abc= 24

Q-(10) Sol-(3)